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Finding the Fourth Proportional to 7,447.84, 10,278.48 and 4,135.84

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Solution

The fourth proportional to 7,447.84, 10,278.48 and 4,135.84 is: 5,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.84 : 10,278.48 = 4,135.84 : x
  2. Step 2: Convert to fraction form
    7,447.84/10,278.48 = 4,135.84/x
  3. Step 3: Cross multiply
    7,447.84x = 10,278.48 × 4,135.84
  4. Step 4: Simplify right side
    7,447.84x = 42,510,148.72
  5. Step 5: Solve for x
    x = 42,510,148.72/7,447.84
  6. Step 6: Final answer
    x = 5,707.72

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.